Reviewed by Jo-ann Caballes
How do you add a fraction and a whole number?
Answer: To add a fraction and a whole number, convert the whole number to a fraction and then add the numerators
Adding a fraction and a whole number is a common task in arithmetic. You can do this by rewriting the whole number as a fraction with the same denominator as the given fraction, making it easy to combine the two values into a single fraction or mixed number.
Methods
Math Tutor Explanation Using the Common Denominator Method
This method involves expressing the whole number as a fraction with the same denominator as the fraction you want to add. Once both are fractions, you can add them easily.
Step 1: Step 1: Rewrite the whole number as a fraction with the same denominator as the fraction
Step 2: Step 2: Add the numerators and keep the denominator the same
Math Tutor Explanation Using Mixed Numbers
You can also keep the whole number separate and express your answer as a mixed number if you prefer.
Step 1: Step 1: Add the whole number and the fraction directly to express your answer as a mixed number
Step 2: Step 2: Convert to an improper fraction if needed for further calculations
Step 1:
Step 2:
Math Tutor suggests: Practice Adding Fractions and Whole Numbers
Explore more exercises to strengthen your skills in combining fractions with whole numbers and related fraction operations.
FAQ on Adding Whole Numbers and Fractions
Do I always need a common denominator to add a fraction and whole number?
Yes, converting the whole number to a fraction with the same denominator as the fraction makes it easy to add them.
Can I leave the answer as a mixed number?
Yes, your answer can often be left as a mixed number unless instructions require an improper fraction.
How do I convert a whole number to a fraction?
Make the whole number the numerator and use 1 as the denominator, then adjust to the necessary denominator.
What if the fractions have different denominators?
First convert the whole number, then use a common denominator if you are adding more than one fraction.
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